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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>Taras Shevchenko National University of Kyiv</institution>
          ,
          <addr-line>Volodymyrs'ka str. 64/13, Kyiv, 01601</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <fpage>146</fpage>
      <lpage>162</lpage>
      <abstract>
        <p>This paper examines the current state of expert decision-making technologies, proposing a formalization of these technologies while addressing key challenges in the field, including the potential for manipulation. It provides an overview of areas in human life where manipulation might occur and presents the stages of expert decision-making technologies, along with a framework outlining their sequence and interconnections. The paper investigates the challenges that may arise at each stage of applying expert technologies and examines their underlying causes in detail. Particular attention is given to the issue of choice manipulation, identifying specific domains where such manipulation might occur. A definition of manipulation within the context of expert evaluation is introduced, and heuristics are formulated to support the study of this issue in expert technology applications. Finally, the paper proposes the foundational principles of a methodology to counteract manipulation in expert evaluations.</p>
      </abstract>
      <kwd-group>
        <kwd>Expert technologies</kwd>
        <kwd>decision-making</kwd>
        <kwd>manipulation</kwd>
        <kwd>sources of problems 1</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Expert evaluation tasks are widely used across various fields of human activity, serving as a critical
tool for formalizing and structuring situations in diverse subject areas. In many cases, expert
technologies are the only viable means of arriving at an acceptable solution to a practical problem [1,
2]. However, since these solutions are inherently not optimal but represent compromises, they are
particularly susceptible to manipulation. This study focuses on developing the foundational principles
of a methodology to counter manipulation in the application of expert technologies [3].</p>
    </sec>
    <sec id="sec-2">
      <title>2. Expert decision-making technologies and their formalization</title>
      <p>Expert technologies are a powerful and often indispensable tool for addressing a wide range of
practical problems [4, 5]. Today, tasks across various fields of human activity are effectively tackled
through the application of expert knowledge and its judicious use [6, 7]. These technologies are
particularly well-suited for solving poorly structured or entirely unstructured problems [8, 9].
However, it is crucial to carefully examine potential anomalies that may arise during the application
of expert knowledge. Additionally, the possibilities for manipulation when using expert technologies
must be thoroughly formalized and addressed [10].</p>
      <p>2.1. Formal representation of expert decision-making technologies</p>
      <sec id="sec-2-1">
        <title>We will represent expert decision-making technologies as a tuple</title>
        <p>⟨ ,  ,  ,  ,  ,  ,  ,  ,  ,  ,  ⟩,
where  − a set of attributes (objects, options, alternatives, parameter sets);
 −a set of constraints;
 −a set of criteria;
 −a set of measurement scales by criteria and alternatives;
 −mapping the set of valid alternatives to the set of criterion scores;
 −a set of generalizations of criteria;
 −a set of formal characteristics of experts;
 −a set of goals set by researchers;
 −a system of preferences set by a decision maker, a team of decision makers in collective
decision-making, or a group of experts at various stages of preparation for decision-making;
 −problems that arise at different stages of the application of expert technologies;
 −manipulation (forgery) of choice at different stages of decision-making in case of problems
with the use of expert technologies.</p>
        <p>All the components of tuple (1) have a great impact on the quality and efficiency of expert
technologies in decision-making situations. In this paper, special attention will be paid to the last two
components of tuple (1) - the problems of using expert technologies at different stages of their
application( ), and some aspects of manipulation in the use of expert technologies( ) . In order to
reduce the risks of manipulation of expert technologies, the methodological foundations of
countering manipulation will be considered.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Manipulation in human life</title>
      <p>Manipulation accompanies us in all spheres of life. Today, various aspects of manipulation are widely
studied [11]. This phenomenon is the subject of research in various fields of science - sociology,
psychology, political science, philosophy [12], ethics [13, 14], management [15], choice and
decisionmaking theory [16, 17], mathematical statistics, expert evaluation [18], etc.</p>
      <p>Manipulation is an action targeted at process participants with the aim of imperceptibly
influencing and changing the results expected by the process participants in their favor.</p>
      <p>Today, this phenomenon is being comprehensively studied in order to both improve the tools of
influence and successfully counteract such influences. The successful result of such research is the
prevention of manipulation and early detection of manipulation attempts.</p>
      <sec id="sec-3-1">
        <title>The problem of manipulation has been extensively studied in the humanities:</title>
        <p>● In the sociological sciences, the manipulation of mass consciousness is comprehensively studied;
● Political science is the study of various forms of political manipulation that influence the
behavior of voters, groups of individuals, and society as a whole in order to gain power;
● psychologists study the phenomena of psychological manipulation and the possibility of targeted
influence on people.</p>
        <p>There are also various areas of research related to this topic:
● Information manipulation is an interdisciplinary field with a wide range of research topics;
● organizational manipulation, which explores additional opportunities for influencing members
of the workforce in parallel with the development of organizational theory;
● managerial manipulation, which aims to use additional levers of control in companies to achieve
management goals;
● domestic manipulation, which has become widespread and is studied by representatives of
various fields of research;
● a wide range of other aspects of manipulation.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Stages of application of expert decision-making technologies</title>
      <sec id="sec-4-1">
        <title>2.1. Formulation of the task of expert evaluation</title>
      </sec>
      <sec id="sec-4-2">
        <title>2.2. Preliminary situational analysis</title>
      </sec>
      <sec id="sec-4-3">
        <title>2.3. Detection and identification of problems</title>
      </sec>
      <sec id="sec-4-4">
        <title>2.4. Setting the problem</title>
        <p>Formalization of the task of expert evaluation</p>
      </sec>
      <sec id="sec-4-5">
        <title>3.1. Drawing up a list of criteria</title>
      </sec>
      <sec id="sec-4-6">
        <title>3.2. Determining the limitations of the task</title>
      </sec>
      <sec id="sec-4-7">
        <title>3.3. Construction of measurement scales</title>
      </sec>
      <sec id="sec-4-8">
        <title>3.4. Formation of a set of objects (alternative) assessment evaluation</title>
      </sec>
      <sec id="sec-4-9">
        <title>Selection of a class of mathematical models for problem formalization</title>
      </sec>
      <sec id="sec-4-10">
        <title>Formation of an expert group</title>
      </sec>
      <sec id="sec-4-11">
        <title>5.1. Formation of rules of work of the expert group</title>
      </sec>
      <sec id="sec-4-12">
        <title>Determination (finding, selection, generation) of a set of admissible alternatives</title>
      </sec>
      <sec id="sec-4-13">
        <title>Obtaining initial data - measurement, multi-criteria evaluation</title>
      </sec>
      <sec id="sec-4-14">
        <title>Formation of rules for assessing the competence of experts</title>
      </sec>
      <sec id="sec-4-15">
        <title>Formation of the rules for making a collective judgment of the group</title>
      </sec>
      <sec id="sec-4-16">
        <title>Data pre-processing</title>
        <p>10.1. Solving a specific problem using mathematical methods and computer technology</p>
      </sec>
      <sec id="sec-4-17">
        <title>Analysis of consistency of expert information, "smoothing" of results</title>
      </sec>
      <sec id="sec-4-18">
        <title>Organization of feedback in order to increase the credibility of expert assessments</title>
      </sec>
      <sec id="sec-4-19">
        <title>Explanation of motives and ways of choosing the final expert assessment of objects 13.1. Illustration of the obtained results</title>
      </sec>
      <sec id="sec-4-20">
        <title>Acceptance of the final expert assessment is the choice of the best alternative</title>
      </sec>
      <sec id="sec-4-21">
        <title>Implementation and enforcement of the decision based on a collective expert assessment</title>
      </sec>
      <sec id="sec-4-22">
        <title>Development of criteria for achieving the goal, which are indicators of the quality of decision implementation</title>
      </sec>
      <sec id="sec-4-23">
        <title>Monitoring the quality of implementation of decisions made on the basis of expert</title>
      </sec>
      <sec id="sec-4-24">
        <title>Evaluation of the results of the implementation of the decision made on the basis of expert</title>
      </sec>
      <sec id="sec-4-25">
        <title>The stages outlined in Table 1 will be referred to as</title>
        <p />
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Problems that may arise when using expert technologies</title>
      <p>At each stage outlined in Table 1 and visualized in Figure 1, various problems naturally and inevitably
arise. These challenges clearly increase the potential for and likelihood of manipulation. To explore
possible manipulation strategies and implement measures to counteract them, it is essential to
examine the essence and characteristics of each stage of expert technology application in greater
depth. Let us now consider the attributes of each stage.</p>
      <sec id="sec-5-1">
        <title>5.1. Defining the purpose of the expert evaluation and the goals of the</title>
        <p>researcher</p>
        <sec id="sec-5-1-1">
          <title>Stage 1 can be represented as a vector</title>
          <p>The elements of vector (3) have the following meaning:</p>
          <p>−Some or most members of the expert panel do not meet the requirements for experts because
they cannot perform such operations:</p>
          <p>).
−highlighting the best object;
−selection of an unordered subset of the best objects;
−selection of an ordered subset of the best objects;
- ranking (ordering) the entire set of objects;
- orderly breakdown of objects (stratification, group ordering);
- disordered division of objects (classification);
−The purpose of the expert evaluation is incorrectly chosen;
−The researchers misunderstood the goals that were set for them;
−Inadequately selected tool for expertise and decision support;
−The problem of expert evaluation is incorrectly solved;
−The results of the expert evaluation contradict the company's status quo;
−Distrust of scientifically based methods;
−Informal ties in the company are stronger than the recommendations of the expert group;
−The management did not use the results of the expert evaluation task: there is no will to
implement innovative solutions.</p>
          <p>5.2. Diagnosis of the problem, formulation of the expert evaluation task,
preliminary situational analysis, detection and identification of problems,



























(3)
(4)
(5)
problem statement</p>
        </sec>
        <sec id="sec-5-1-2">
          <title>Stage 2 can be represented as a vector</title>
          <p>The elements of vector (4) have the following meaning:
−Experts often misidentify the emphasis and main tasks;
= (
at a different level of competence;
−A global problem is replaced by partial ones or a general problem is identified that is solved
−The task is formulated inadequately and the group of experts performs unproductive work;
−A superficial analysis is carried out without knowledge of the specifics of the situation,
company traditions, analysis of the background, tracking the dynamics of activities and data trends;
−Problems are identified based on information from interested managers and those who know
how to present the issues in a favorable light for their unit;</p>
          <p>−Deep and significant problems remain undiscovered and are further obscured behind the
illusion of a scientific study;
−An unacceptably generalized, rough statement of the problem is made;
−An unreasonably detailed statement of the problem is made;
−An inappropriate class of models is selected to model the situation.
5.3. Formalization of the expert evaluation task: compilation of a list of criteria,
task constraints, construction of measurement scales, formation of a set of
alternatives</p>
        </sec>
        <sec id="sec-5-1-3">
          <title>Stage 3 can be represented as a vector</title>
          <p>The elements of vector (5) have the following meaning:</p>
          <p>−Inadequate formalization of the problem is carried out - the use of formal methods in those
sections and in ways that are inappropriate, unreasonable and ineffective in a particular situation;
−Lack of formalized procedures for structuring the problem area in the consultants' arsenal;
−A rigorous form of dialog between consultants and experts in the process of identifying their
knowledge;
unclear definition of roles in peer review procedures;
−Insufficient responsibility of consultants in the process of peer review moderation and
−Consultants are not sufficiently qualified to select and use formal expert evaluation models;
−The list of criteria for the task is not carefully compiled;
−The task criteria selected by experts and consultants are not characteristics of the degree of
achievement of the sub-goals of the global goal;
characteristics of a person and only according to arithmetic laws;
−The</p>
          <p>measurement scales are built without taking into account the psychological
−The set of alternatives is formed by a directive method, without the use of creativity and
expert technologies;
alternatives:
−The consultants did not explain, and the experts failed to generate a sufficient number of
−Excessive, logically unjustified increase in the complexity of the task: an excessive number
of criteria, failure to take into account the dependence of criteria, etc;
the number of alternatives, parameters, etc.</p>
          <p>−Increasing the dimensionality of the problem by having too many gradations on the scales,
take into account the same aspect of the consequences;
−The selected criteria are not general and cannot serve as a measure for all alternatives;
−The criteria selected for modeling the problem at hand can be represented as constraints;
−The set of criteria does not meet the principle of completeness:
−using some additional criteria may lead to a change in the decision;
−rejecting some selected criteria does not change the decision;
−The criteria do not meet the principle of simplicity:
−the requirement of non-redundancy is not met - different criteria from the set should not
−the minimum requirement is violated - the set of some should contain as few criteria as
possible;
identification of possible challenges and prospects;
specifics of the process being modeled and evaluated;
−The task's limitations are set formally, without a deep analysis of the retrospective and
−The measurement scales are selected from a traditional set, without taking into account the
























(6)</p>
        </sec>
      </sec>
      <sec id="sec-5-2">
        <title>5.4. Choosing the class of mathematical models in which it is most convenient (most adequate, most effective) to formalize the problem under study</title>
        <sec id="sec-5-2-1">
          <title>Stage 4 can be represented as a vector</title>
          <p>The elements of vector (6) have the following meaning:
−Simulation of multicriteria in the selection of a mathematical model;
−The choice of the class of models was limited to the choice of an additive model using
artificially assigned values of the coefficients of expert competence or ignoring the level of their
competence;</p>
          <p>−A mathematical model was chosen that does not correspond to the peculiarities of the
subject area and, at the initial stages of solving the expert evaluation problem, creates distrust of the
expert group in the adequacy of the modeling;
the solution offset the effort of building the model;
results of modeling;
−An adequately formulated mathematical model does not have software to implement it, so
−The use of simplified methods to solve a complex mathematical problem, which negates the























lead to significant deviations and loss of the right direction of the solution;
organization methods;
−Finding a solution is practically a simple matter of searching through the possible options;
−The chosen method is not sufficiently formalized, and there are no clear rules of operation;
−The absurdity of finding a solution in such circumstances is declared as a principle;
−The criteria for assessing the level of ideas put forward have not been developed, which can
−The results obtained are extremely dependent on the preparation and conduct of the group's
−A significant part of the success of the examination depends on the team leader.
5.5. Formation of the expert group, formation of the rules of work of the expert
group</p>
        </sec>
        <sec id="sec-5-2-2">
          <title>Stage 5 can be represented as a vector</title>
          <p>The elements of vector (7) have the following meaning:

−The problem of the size of the expert committee is not taken into account, since the number
of experts significantly affects the accuracy of the group assessment;</p>
          <p>−When choosing the number of experts, the need to achieve a compromise between accuracy
and labor intensity of the examination was not taken into account;</p>
          <p>−Reducing the number of experts leads to a decrease in accuracy, as the final results are
significantly influenced by each expert: the point of forming expert opinions by a group of specialists
is lost;</p>
          <p>−An increase in the number of experts increases the accuracy of the assessment, but
complicates the organization of the assessment, extends the timeframe for its conduct, complicates
the processing of survey results, and offsets the influence of each expert on the group assessment,
which is not compensated by an increase in the reliability of the assessments;</p>
          <p>−Increasing the expert group to create the illusion of its significance at the expense of
lowskilled specialists;
problems in expert evaluation tasks;</p>
          <p>−The problem of individual selection of experts arises, which remains one of the most difficult
(collective, collegial) decision-making:</p>
          <p>−The need for maximum attention of the decision maker and experts to this stage, although
there are no methods of forming an expert committee that guarantee full objectivity of the
−Insufficient attention to errors caused by poor structuring of the problem and insufficient
information about the object, process or phenomenon being modeled;</p>
          <p>−Application of procedures that ensure control over the occurrence of errors caused by the
interest of experts in the results of the examination, which necessarily affects the reliability of the
−Failure of the decision-maker and consultants to take into account the peculiarities of group
subordinated to the company's goals;
−Distributed responsibility;
−High probability of making a risky decision;
−The influence of personal preferences on expert assessments is great;
−Low degree of influence of personal preferences of each expert on the resulting expert
−The need to implement procedures that ensure that the goals of each expert are
−Breadth of judgment, inconsistency, and complexity of assessment;
−Long time spent on the evaluation procedure;
−There is still a possibility of accepting an unsatisfactory, manipulated expert opinion;
−There is little dependence on a single expert to produce a collective expert opinion;
−Failure of the organizers of the expert evaluation to ensure that its participants are fully
informed of the information directly related to the subject matter of the expert evaluation;
−Failure of consultants to ensure maximum creative activity of experts;
−Inability to ensure the independence of an expert within a hierarchical organization;
−Lack of proper communication and interaction between experts;
−Restriction of creative independence and activity of experts.</p>
        </sec>
      </sec>
      <sec id="sec-5-3">
        <title>5.6. Determining (finding, selecting, generating) the set of valid objects</title>
        <sec id="sec-5-3-1">
          <title>Stage 6 can be represented as a vector</title>
          <p>The elements of vector (8) have the following meaning:
−The problem of quantitative-qualitative transformation: experts often express their opinions
in qualitative rather than quantitative terms;</p>
          <p>−The transformation of quantitative into qualitative (and vice versa) can be carried out using
special methods of the theory of representative measurements, which is part of the statistics of
nonnumerical objects;
acceptable alternatives;
identification of acceptable alternatives;
−Failure of the consultants to explain to the experts the difference between possible and
−Unscrupulous, overly pessimistic or exaggeratedly optimistic attitude of experts to the
−A formal arithmetic approach to generating a set of valid alternatives, forecasts, etc.</p>
        </sec>
      </sec>
      <sec id="sec-5-4">
        <title>5.7. Obtaining initial data - measurement, multi-criteria evaluation of objects</title>
        <sec id="sec-5-4-1">
          <title>Stage 7 can be represented as a vector</title>
          <p>The elements of vector (9) have the following meaning:
= 
(8)
(9)
−The problem of choosing the number of rounds of examination when applying the Delphi
method: objectivity increases, but the costs of the procedure (both time and material) increase;
−Lack of anonymity
when using the</p>
          <p>method of commissions (meetings, conferences,
seminars, roundtables): a group of experts participating in meetings and expressing their opinions is
guided mostly by the logic of compromise;
−Collective responsibility for the final expert assessment;
−Reflection of the company's management hierarchy in the course of the examination;
−Demotivation of experts due to the belief that the collective assessment does not depend on
the expert - and this is often the case;
−Insufficient preparation of the examination;
−Imperfection of the expert technologies used;
−Use of unreasonable methods of comparing contradictory judgments;
−Imperfection of the methods used to process expert information;
−Different understanding by experts of the purpose of the examination;
−Opposition of experts' interests;
−Expert opinions contain general phrases with minimal or no numerical data;
−Insufficient use of scientifically based methods of expert evaluation;
−Unreasonable comparison of different groups of objects under study;
−Systemic errors in the formation of professional groups of experts;
−Incompleteness of information, which arises from the fact that different experts will always
have different knowledge of the event and its level of uncertainty;
hundreds of times;
examination;
leads to an increase in the level of uncertainty rather than a decrease;
the involved experts significantly distorts the information;
−The ambiguity of some questions that may be misunderstood by the expert, which ultimately
−The lack of competence and/or interest in some of the certain results of the expert review of
−Errors in the mathematical model used lead to a misuse of the results obtained from experts;
−Excessive enthusiasm for quantitative assessments leads to incorrect results - it is necessary
to limit oneself to qualitative assessments of alternatives;</p>
          <p>−Use ranking only in cases where it is impossible or inappropriate to use direct assessments:
objects with neighboring ranks may have a difference in the intensity of the feature by tens or
−When ranking alternatives, there may be too many, which affects the results of the
−When ranking, some experts may consider certain objects to be incomparable and not
include them in the overall set, allowing them to make incomplete rankings;</p>
          <p>−Experts must clearly understand what they are evaluating and on what scale to avoid
situations where experts evaluate the same indicator characterizing an object based on different
premises: that is, the construction of scales must be psychologically sound;</p>
          <p>−If the number of alternatives being evaluated is sufficiently large, the procedure of pairwise
comparison of all possible pairs becomes laborious for the expert;</p>
          <p>−Assuming the consistency of the expert's assessments, a single presentation of each
alternative in conjunction with any other is almost sufficient: but this assumption is too strong and
can lead to a significant loss of information.</p>
          <p>−Expert procedures should help to ensure the objectivity of experts;
−Ensuring that emotional and psychological factors are avoided;</p>
        </sec>
      </sec>
      <sec id="sec-5-5">
        <title>5.8. Formation of rules for assessing the competence of experts</title>
        <sec id="sec-5-5-1">
          <title>Stage 8 can be represented as a vector</title>
          <p>The elements of vector (10) have the following meaning [19, 20]:</p>
          <p>−When formulating rules for assessing the competence of experts, take into account the basic
requirements for experts:
−be able to generalize knowledge;
−recognize and identify problems;
−draw plausible conclusions from incomplete information;
−explain their judgments;
−Reconstruct and reorganize your information;
−determine whether the problem is within his or her competence;
−to be compared with pre-known true answers of an objective nature, although not all types
of expert evaluation tasks can be selected for situations for which true answers are known in advance;
−consistency, stability, repeatability in the expression of preferences, when experts are
offered the same questions, the same objects, but separated in time and sequence of presentation;
−the ability to build a complex solution rule taking into account all the criteria without
simplifying the strategy during expert evaluation;</p>
          <p>−transitivity, which is a very common condition, sometimes called the basic rule of
inference;
expert is rather indifferent;</p>
          <p>−The results of experts' comparisons of different objects often do not correspond to the
postulate of transitivity - non-transitivity is characteristic of judgments about objects to which the</p>
          <p>−To determine the level of competence of experts using self-assessment, the expert
determines the degree of his or her awareness of the issue under study; information is obtained about
the level of self-confidence of the expert, not about his or her actual competence;
−When determining the mutual assessment of experts' competence, confrontation between
experts and their coalitions can be detected;</p>
          <p>−Confrontation between experts necessarily distorts the actual competence of experts.</p>
        </sec>
      </sec>
      <sec id="sec-5-6">
        <title>5.9. Formation of rules for developing a collective judgment of the group</title>
        <sec id="sec-5-6-1">
          <title>Stage 9 can be represented as a vector</title>
          <p>= (</p>
          <p>The elements of vector (11) have the following meaning [21, 22]:
information;
problems are possible;
personal relationships, etc.
problem, weed out their erroneous judgments, etc. - a synergistic effect;
−The risk of insufficient competence of the expert in the subject matter of the evaluation;
−Antagonism between some experts;
−Getting into the sphere of corporate, business or criminal interests;
−Lack of specificity in the results of the examination;
−Impossibility to track the consequences of the examination results;
−The problem of organizing communication between experts within the sessions;
−The ban on communication between experts ensures the independence of their opinions;
−Sometimes, knowing the opinions of others, an expert can get deeper into the essence of the
−Incomplete information during an examination in absentia prevents the collection of more
−During an in-person examination in the form of a free discussion, social and psychological
−Problems related to professional or official inequalities of commission members, their</p>
        </sec>
      </sec>
      <sec id="sec-5-7">
        <title>5.10. Data processing and solving a specific problem using mathematical methods and computer technology</title>
        <sec id="sec-5-7-1">
          <title>Stage 10 can be represented as a vector</title>
          <p>The elements of vector (12) have the following meaning [23, 24]:

= (
−The problem of dissidents' opinions: there is no need to unreasonably exclude from the
expert commission or ignore the assessments of those whose opinions differ from the majority
opinion - instead of an unqualified expert, you can exclude the specialist who has penetrated the
essence of the problem the most;</p>
          <p>−Part of the expert information is lost because the opinions of experts are not fully taken into
account, as they may have several assessments that differ in the degree of confidence;
−Shortcomings in the processing and analysis of data obtained during the expert survey,
which do not take into account the level of significance of the characteristics of experts for each
question in the questionnaire and do not cover the full range of expert opinions, which in aggregate
reduces the effectiveness of the expert review;
account;
−The degree of confidence of the expert in each of the answer options is not taken into
−Measurement methods and their different accuracy can have a significant impact on the
result, sometimes leading the researcher to opposite conclusions.</p>
        </sec>
      </sec>
      <sec id="sec-5-8">
        <title>5.11. Analyzing the consistency of expert information, "smoothing" the results</title>
        <sec id="sec-5-8-1">
          <title>Stage 11 can be represented as a vector</title>
          <p>The elements of vector (13) have the following meaning [25, 26]:
procedures;
committee can sometimes lead to biased expertise;
−The problem of consistency of expert opinions is an important section in most expert
−Attempts to ensure maximum consistency in the opinions of the members of the expert
−In order to ensure consistency of opinions, the organizers of the examination deliberately
select the "right" experts;</p>
          <p>−The organizers of the examination should take into account the so-called group viewpoints,
when experts are divided into groups that have different (but identical within the group) viewpoints;
in the absence of a single point of view, which is also an important result;
−There is no need to draw premature conclusions about the bias of the expertise: it may result
−Take into account the mathematical and statistical features of methods for establishing the
level of consistency of expert opinions;
individual expert information;
and interpreting them.</p>
          <p>−Determination by consultants of the resulting expert opinion based on uncoordinated
−The complexity of forming the final expert opinion: reconciling the data obtained, analyzing
















reconsider their point of view, even if it is wrong.</p>
          <p>(14)
(15)</p>
        </sec>
      </sec>
      <sec id="sec-5-9">
        <title>5.12. Organize feedback to improve the reliability of expert opinions</title>
        <sec id="sec-5-9-1">
          <title>Stage 12 can be represented as a vector</title>
          <p>The elements of vector (14) have the following meaning:

conduct of the examination;
−Experts are not sufficiently informed about the activities of units in related areas;
−The company's corporate culture does not imply compromise in the interaction between
−There are insufficient mathematical, psychological, and organizational tools to ensure the
−The company's poor performance discipline does not allow for high-quality preparation and
−An unbalanced employee incentive system significantly affects the quality of feedback;
−Possible subjectivity of experts: experts may be captive to their perceptions and reluctant to</p>
        </sec>
      </sec>
      <sec id="sec-5-10">
        <title>5.13. Explanation of the motives and ways of choosing the final expert evaluation of the objects, illustration of the results obtained</title>
        <sec id="sec-5-10-1">
          <title>Stage 13 can be represented as a vector</title>
          <p>The elements of vector (15) have the following meaning:
= (
−Low effectiveness of conclusions (results of examination);
−Expert opinions are template-based: they do not take into account all aspects of the
company's activities;
the procedure in general and the generalized expert decision in particular;
−Failure to fulfill one of the stages of expert evaluation leads to a decrease in confidence in
−Experts are formal in their approach to explaining the motives for their participation in the
review and arguing their position;</p>
          <p>−The inability or unwillingness of consultants to provide illustrations and adequate
interpretation of the results of the examination sometimes reduces the entire work done to nothing.</p>
        </sec>
      </sec>
      <sec id="sec-5-11">
        <title>5.14. Explanation of the motives and ways of choosing the final expert assessment of the objects, illustration of the results obtained</title>
        <sec id="sec-5-11-1">
          <title>Stage 14 can be represented as a vector</title>
          <p />
        </sec>
      </sec>
      <sec id="sec-5-12">
        <title>5.15. Implementation and execution of the decision based on collective expert assessment</title>
        <p>Stage 15 can be represented as a vector

The elements of vector (16) have the following meaning:
−Lack of forecasting based on the results of the analysis;
−Lack of constructive recommendations for making the necessary decisions to improve
performance;
not binding and detached from the main business processes;
evaluation emphasize its untimeliness and artificiality.</p>
        <p>−Formal acceptance of the results of expert evaluation does not ensure its "legitimization";
−The perception of the final expert assessment by the majority of the company's divisions as
−The defects and uncertainties that arise in the development of requirements for expert
evaluation;
executors;</p>
        <p>The elements of vector (17) have the following meaning:
−Insufficient will of the company's management to implement this solution;
−There is insurmountable resistance and sabotage of the decision on the ground;
−Insufficient training of local specialists to support the implementation of the solution;
−There is no modern material base to support the decision - it is not timely;
−Unrealistic estimate of the timeframe and budget based on the results of the expert
−Unqualified preparation of a set of necessary measures to achieve the declared goal;
−Unreasonable determination of the required amount of resources;
−Artificial and unreasonable appointment of executors of relevant measures;
−Illogical distribution of work, resources, and performers across objects, tasks, and deadlines;
−Failure to conduct or unfair conduct of instructional and methodological activities with
−Failure to provide timely and full assistance to contractors in case of difficulties.
(16)
(17)
5.16. Develop criteria for achieving the goal, which are indicators of the quality
of decision implementation</p>
        <sec id="sec-5-12-1">
          <title>Stage 16 can be represented as a vector</title>
          <p>The elements of vector (18) have the following meaning:
−Formal attitude to the selection of criteria;
−The criteria are not based on information available to the company;
−Determining the values of the criteria requires a lot of labor;
−The criteria are not indicators of the quality of the implementation of this particular expert
assessment;
−The developed criteria do not reflect the hierarchical structure of the company;
−When developing and implementing the criteria, the areas of responsibility of the
departments were not taken into account or they were violated intentionally or due to incompetence.</p>
        </sec>
      </sec>
      <sec id="sec-5-13">
        <title>5.17. Monitoring the quality of implementation of decisions made on the basis of expert evaluation</title>
        <p>Stage 17 can be represented as a vector

= ( , . . . , 
)




















(18)
(19)
(20)
The elements of vector (19) have the following meaning:
−Incorrectly selected data that does not reflect the real state of solution implementation;
−There are no technical and communication capabilities for monitoring;
−Unscrupulousness of the personnel responsible for monitoring;
−Lack of systems that support data aggregation;
−Irregular monitoring and response to monitoring results;
−Continuous changes in requirements, information links, unreasonable changes in the
functions of departments, etc;
evaluation results approved for implementation;
implemented;
−Lack of work on identifying the causes of deviations in the implementation of the expert
−Lack of control over compliance with the main characteristics of the solution being
−Insufficient or unfair control over compliance with the implementation deadlines;
−Unprofessional and inconsistent monitoring of the status of the problem situation and the
5.18. Evaluation of the results of the implementation of a decision made on the
process of implementing the results of the expert assessment.</p>
        <p>basis of expert evaluation</p>
        <sec id="sec-5-13-1">
          <title>Stage 18 can be represented as a vector</title>
          <p>The elements of vector (20) have the following meaning:</p>
          <p>= ( , . . . ,  )
−Lack of evaluation of the results of the solution implementation;
−Inadequate assessment of the effectiveness of the consequences of the decision;
−Incorrect placement of emphasis on the results obtained and the responsibility of the
participants in the implementation of the decision;</p>
          <p>−Lack of motivation for the results of the implemented solution;
costs of organizing and conducting the survey;
expert evaluation;
implement the expert evaluation;
−The cost of an expert survey is unreasonably high, as it involves high expert salaries and the
−Lack of periodic assessment of the actual effectiveness of decisions made on the basis of
−The lack of a procedure for predicting the final effective period of the decisions taken to
−Lack of regulations for determining the need to adjust actions or make a new decision;
−Failure to anticipate the need to accumulate and systematize experience and develop
algorithms for implementing standard decisions based on expert evaluation.</p>
          <p>It is clear that each classification is schematic. However, modeling of processes, objects, and
phenomena is a necessary element of research for the purpose of structuring and in-depth study.</p>
          <p>It should be noted that potential problems, in particular, are or may become potential opportunities
for manipulation. In particular, problems open the way to manipulating choices. Problems can arise at
every stage of the application of expert technologies. And they, in turn, are a convenient environment
for "formalized" manipulation. This is explained by the significant presence of subjective factors at all
stages of expert evaluation. And also the illusion of the omnipotence of any mathematical methods.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>6. Manipulating choice when using expert technologies</title>
      <p>There are many different definitions of the concept of manipulation that are used to study the
problem of manipulation in various fields of science [27, 28].
problem among the compromise solutions of the form (1).</p>
      <p>Choice manipulation is the facilitation of choosing an acceptable solution to the expert evaluation
different ways.
calculations.</p>
      <p>In most cases, this is not deception, substitution or falsification of facts [29]. Manipulation consists
in choosing such tools for formalizing the problem that will satisfy the wishes of some interested
group of people in legitimately making the "right" decision [30, 31]. Moreover, in such situations, the
use of mathematical methods, models, and human psychological characteristics to obtain a biased
decision that is sufficiently justified to have signs of objectivity [32, 33].</p>
      <p>We will introduce a number of heuristics that allow us to formalize the task of identifying
manipulation opportunities, structuring them, and counteracting such attempts [34, 35].</p>
      <p>Heuristics H1. Since problems arise at all stages of expert evaluation, they can be solved in
Heuristics H2. Accordingly, the results of problem solving can be used in the interests of
participants in the process, customers of the expertise or final beneficiaries.</p>
      <p>Heuristics H3. All decisions can be justified and supported by appropriate mathematical
Heuristics H4. It is possible to investigate the quality of the decision justification in the expert
evaluation task and offer more reasonable solutions. That is, in this area, the secret can be made explicit
7. Methodological basis for countering manipulation in the use of expert
technologies</p>
      <p>To improve the quality of solving decision support tasks in complex poorly structured
organizational systems, taking into account the subjective component, as well as to ensure the
functioning of the system in conditions of constant change, we consider the methodological
foundations of decision support. The methodology is applied at all stages of decision support in an
organizational system and ensures obtaining reliable information from all participants in
decisionmaking situations [30]. At the stage of obtaining expert information, decision makers have the
opportunity to set their preferences in a convenient form in ordinal or cardinal scales in terms of the
subject area [36].</p>
      <p>The essence of the methodology developed by the author is to develop and implement approaches
and ways to solve the problem of effective use of the subjective component of decision-making for
the functioning of personnel management systems. We can offer a number of approaches that are
the methodological basis for counteracting manipulation in the application of expert technologies.
The methodology should be based on the following elements:
● Formalization of all stages of expert evaluation;
● Identification and recording of all heuristics used, taking into account the definition of heuristics
and their manifestations: postulate, hypothesis, axiom, presumption, etc;
● Explicit presentation of heuristics that are used to solve a problem and, accordingly, significantly
affect the solution;
● Application of soft computing, in particular, methods for constructing membership functions for
a fuzzy set: layering; frequency of values; approximation by a triangular or trapezoidal
membership function, etc;
● A group of methods for metricizing ordinal preferences on a set of alternatives has been developed
that allow automatic transition to interval cardinal measurement scales;
● A group of adaptive methods for determining weighting coefficients has been developed;
● Unification of methods for determining the weighting of objects, parameters, criteria, expert
competence, or the weight of information sources;
● The relationship between matrices of pairwise comparisons, rankings, and weighting coefficients
in cardinal measurement scales is established;
● Study of the dynamics of decision-making by coalitions;
● Application of adaptive methods and rationale: why specific heuristics are used;
● Visualization, illustration, and interpretation of alternatives;
● Determining the distances from the ideal solution and alternative solutions from each other;
● Use of preferential ranking rather than simple selection;
● Using indirect methods instead of direct methods: taking into account the limited capabilities of
people;
● Identification of intersections and limits of similarity between the criteria bundles that are used;
● Identify ideal rankings and calculate trade-offs between them.</p>
      <p>By using subject matter models that are more aligned with expert preferences, the developed
methodology will enable users to work in terms of subject matter and improve the credibility of the
recommendations provided by the ODA.</p>
    </sec>
    <sec id="sec-7">
      <title>8. Conclusions</title>
      <p>This paper examines the stages involved in expert decision-making technologies, presenting a
framework that outlines their sequence and interrelationships. It also investigates the challenges
encountered during the application of these technologies and explores their underlying causes.
Furthermore, the paper proposes a foundational methodology to counteract manipulation in expert
evaluations. The proposed methodology aims to mitigate various forms of manipulation, both by
identifying early indicators and analyzing the outcomes of decisions. It also offers recommendations
for preventive measures to safeguard the decision-making process across all stages of preparation.
Future research will refine and enhance this methodology, strengthening its effectiveness in
addressing manipulation attempts.</p>
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